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Finding the Fourth Proportional to 91,765.20, 137,728.80 and 54,278.40

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Solution

The fourth proportional to 91,765.20, 137,728.80 and 54,278.40 is: 81,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,765.20 : 137,728.80 = 54,278.40 : x
  2. Step 2: Convert to fraction form
    91,765.20/137,728.80 = 54,278.40/x
  3. Step 3: Cross multiply
    91,765.20x = 137,728.80 × 54,278.40
  4. Step 4: Simplify right side
    91,765.20x = 7,475,698,897.92
  5. Step 5: Solve for x
    x = 7,475,698,897.92/91,765.20
  6. Step 6: Final answer
    x = 81,465.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.